Adaptive gain control image processing system and method

ABSTRACT

By utilizing scene metrics in an image processing system (such as night vision goggles or a camera), a setpoint controller can set a setpoint used by a gain controller. Using the setpoint and an average video level of a frame, the gain controller can set gain control signals sent to an image sensor and/or a high voltage power supply to adaptively adjust for higher and lower light scenarios. Scene metrics can include an amount of saturation in a frame, a number or percentage of pixels above a first threshold and a number or percentage of pixels below a second threshold.

CROSS-REFERENCE TO CO-PENDING APPLICATION

This application is a continuation of co-pending U.S. application Ser.No. 13/011,204, filed Jan. 21, 2011, the contents of which areincorporated herein by reference.

FIELD OF INVENTION

The present invention is directed to a system and method for adaptivegain control in an image processing environment, and, in one embodiment,to a system and method for preferentially controlling saturation and/orother image characteristics in an image processing environment (e.g., ina night vision goggle system).

DISCUSSION OF THE BACKGROUND

Known histogram-based adaptive gain control (AGC) systems are based onthe maximum amplitude histogram bin to control the output video level oruse other histogram weighting functions such as using the bin with thegreatest number of pixels exceeding a preset maximum for that bin. Thoseapplications have been used in non-intensified cameras based onconventional CCD or CMOS image sensors.

However, such algorithms can suffer performance issues when there is abimodal distribution of pixel values in the histogram such that thepreponderance of pixels are either very dark or very bright with fewermid-level gray values between, such as might occur when imaging a darkhorizon with interfering sky glow or in urban environments. Under suchconditions, imagery from known AGC system can have excessive saturation(clipping) of bright scene content, as compared to a scene with noexcess dark scene content. In an intensified camera, this leads toshortened tube lifetime, reduced intra-scene dynamic range, and loss ofuseful scene content near bright sources.

BRIEF DESCRIPTION OF THE DRAWINGS

The patent or application file contains at least one drawing executed incolor. Copies of this patent or patent application publication withcolor drawing(s) will be provided by the Office upon request and paymentof the necessary fee.

The following description, given with respect to the attached drawings,may be better understood with reference to the non-limiting examples ofthe drawings, wherein:

FIG. 1 is block diagram of a portion of an imaging system;

FIG. 2 is an exemplary histogram of the occurrences of differentintensities in a frame fed to the sub-assembly of FIG. 1;

FIG. 3 is a graphical representation of a relationship K_(vs) that setsthe slope of alpha_(s) versus K_(v);

FIG. 4 is an exemplary histogram of the occurrences of differentintensities in a frame fed to the sub-assembly of FIG. 1 where thenumber (or percentage) of saturated pixels requires a reduction in gain;

FIG. 5 is an exemplary histogram of the occurrences of differentintensities in a frame fed to the sub-assembly of FIG. 1 where thenumber (or percentage) of pixels in the high bin requires a reduction ingain;

FIG. 6 is an exemplary histogram of the occurrences of differentintensities in a frame fed to the sub-assembly of FIG. 1 where thenumber (or percentage) of pixels in the low bin requires an increase ingain (if possible without violating higher priority objectives);

FIG. 7 is a flowchart of a first-level of image processing;

FIG. 8 is a flowchart of a second-level of image processing;

FIG. 9 is a block diagram of a multi-sensor imaging system;

FIG. 10A is a simulated image of a frame of video using a fixedsetpoint;

FIG. 10B is a simulated image of a frame of video using an adaptivesetpoint

FIG. 11A is a graph showing metric values using a fixed setpoint in asimulation of video processing; and

FIG. 11B is a graph showing metric values using an adaptive setpoint ina simulation of video processing.

DISCUSSION OF THE PREFERRED EMBODIMENTS

Turning to FIG. 1, a simplified block diagram of a portion of an imagingsystem is shown. Although not shown, one of ordinary skill in the artwill understand that the imaging system may also include other elements,such as lenses and a display device (e.g., a monitor or night-visiongoggles). As shown, at least one image sensor (e.g., an MCPCMOS sensor),operating in conjunction with a variable gain high voltage power supply(HVPS) may provide a stream of raw video (e.g., frame-by-frame) to videoprocessing circuitry 100 (which includes enhanced automatic gain control(AGC) circuitry). The image sensor and HVPS each include at least onegain input for receiving gain control information from the videoprocessing circuitry 100.

The gain control information is generated within gain controllercircuitry of the video processing circuitry 100, and the gain controlinformation is calculated, at least in part, by information supplied byscene analysis circuitry and setpoint controller circuitry. In oneembodiment, the scene analysis circuitry calculates and outputs to thegain controller circuitry an average video level of a frame of rawand/or preprocessed image data. (The raw image data may be preprocessedby non-uniform correction (NUC) circuitry and/or black level correctioncircuitry before being applied to the scene analysis circuitry.) Thescene analysis circuitry also outputs scene metrics (described ingreater detail below) to the setpoint controller circuitry which in turnoutputs a setpoint to the gain controller circuitry. The system may beimplemented with a combination of an FPGA, a microcontroller (e.g., amicroprocessor (either embedded or general-purpose)) (and itscorresponding computer memory for storing program code and data) and/orother required supporting electronics. In one such embodiment, the videometrics (e.g., saturation, high bin, low bin, and average video level)are acquired from the image sensor at pixel rate by the FPGA and madeavailable to the microcontroller, in terms of pixel counts, in registersat the end of each active frame. The setpoint calculations are then donein the microcontroller since it is better suited to the implementationof complex calculations only once per frame than an FPGA. Themicrocontroller writes the updated setpoint to the FPGA where it is usedby the system gain control firmware in the FPGA to control the digitalvideo image sensor such that the average video level converges to thenew setpoint. Other implementations are possible, including control ofan analog video sensor by the addition of an A/D converter or otherelectronics to gather the image metrics in digital form and providefeedback control to the sensor, and by implementation of all therequired calculations into one or more of microcontroller, FPGA or ASIC.

As describe above, the scene analysis circuitry receives at least oneframe of image data from an image sensor and/or at least one frame ofpre-processed image data from NUC and black level correction circuitry.The scene analysis then generates a histogram pixel-by-pixel for each ofthe possible intensity values that the image data can take whencalculating the scene metrics. Each image data value is associated witha “bin” which is a holder for the count of the number of pixels havingthe value(s) associated with that bin. For example, for a 12-bit A/D(analog-to-digital) converter, 4096 different possible values can beused to represent an intensity of a particular pixel. (It is alsopossible to use other A/D converters with a different number of bits persample.) However, to reduce processing time, a bin can be associatedwith more than one particular pixel value. For example, the values 0 and1 could be associated with a first bin, the values 2 and 3 associatedwith a second bin, etc. up to the values 4094 and 4096 being associatedwith a 2048^(th) bin. Alternatively, each possible pixel value could beassociated with its own separate bin, such that there are 4096 bins whenusing a 12-bit A/D converter.

As shown in FIG. 2, a greatly simplified number of bins are shown for aframe of image data to be processed by the scene analysis circuitry. Thescene analysis circuitry calculates an average video level, a saturationlevel and two other scene metrics. The average video level is calculatedby taking the average of all the intensity values in the current frame,and the saturation level is calculated as the number of pixels in aframe that have a maximum value or are at a saturation point (e.g., havean intensity value of 2^(n)−1 out of a possible 2^(n)−1). The two otherscene metrics are calculated utilizing at least two thresholds. Thosethresholds include at least a low bin threshold and a high binthreshold. The low bin threshold is a value below which the sceneanalysis circuitry treats pixels having an intensity less than the lowbin threshold as belonging to the “low bin.” Similarly, the high binthreshold is a value above which the scene analysis circuitry treatspixels having an intensity higher than the high bin threshold asbelonging to the “high bin.” In the exemplary histogram of FIG. 2, thereare four bins that have values lower than the low bin threshold, andthere are 0, 0, 2 and 3 pixels in each of those bins, respectively.Thus, there are 5 pixels in the low bin (count_(lb)=5). Four bins arealso illustrated as being above the high bin threshold, and there are 2,4, 2 and 2 pixels in each of those bins, respectively, with the last twopixels being associated with the “saturated” or maximum level(count_(sat)=2). Thus, there are 10 pixels in the “high bin”(count_(hb)=10). The scene analysis circuitry then outputs (1) thecalculated average video level to the gain controller circuitry and (2)the values of count_(lb), count_(hb) and count_(sat) to the setpointcontroller. In an alternate embodiment, rather than the scene analysiscircuitry outputting an absolute number of pixels (count_(lb),count_(hb) and count_(sat)), the scene analysis circuitry may insteadoutput percentages of pixels that have the corresponding characteristic.Assuming a total of about 475 pixels in the example of FIG. 2, the sceneanalysis circuitry could instead output percentage_(lb), percentage_(hb)and percentage_(sat) having values of percentage_(lb)=(5/475),percentage_(hb)=(10/475) and percentage_(sat)=(2/475), respectively, ineither floating point or integer formats.

In one embodiment, the gain controller circuitry utilizes models ofsystem gain control elements to set gain parameters. In such anembodiment, the output video level is controlled by adjusting individualgain control values based on the expected response of each of the gaincontrol elements in the image sensor and the HVPS. Other possible gaincontrol methods and circuitry that can be controlled by a setpoint canbe used as well, such as PID controllers and variants thereof.

Gain corrections are made by the gain controller circuitry periodically(e.g., once per frame), based on the radiometric term

$K_{v} = \frac{setpoint}{{average}\mspace{14mu} {video}\mspace{14mu} {level}}$

Scaling the current system gain by K_(v) such that

Gain^(n+1) =K _(v)*Gain^(n)

would correct the output video level to the setpoint were it not forimage sensor transport delays and HVPS bandwidth limitations. To preventovershoot and uncontrolled gain oscillations, these delays are addressedby changing the gain of the individual system gain control elements oneach frame only a predetermined fraction alpha_(v) of that required forfull correction by using a low-pass filter given by

Gain^(n+1)=Gain^(n)┌alpha_(v) *K _(v)+(1−alpha_(v))┐

which then converges to the objective K_(v)=1.0 in a controlled manner.To accommodate the differing time response characteristics of gainelements, the gain coefficient term alpha_(v) is unique for each gainelement, having been determined for the best transient response.

As used herein, the term K_(v) will also be referred to as the “outercontrol loop” parameter.

The video setpoint is adjusted by the setpoint controller circuitrybased on the scene metrics calculated by and received from the sceneanalysis controller (as described above). The setpoint controller setsthe setpoint in order to prioritize a number of objectives. Thoseobjectives include:

1. Saturation less than a saturation threshold

2. high bin scene content less than a high bin threshold

3. low bin scene content less than a low bin threshold

4. mean video level equal to a predefined nominal

Each of the objectives may be configured to have a preferred value;these values control the setpoint response to varying scene content andthe resulting histogram. These values would typically be set to maximizethe number of pixels that are in the central bins of the histogram,those being neither at full white nor at full black. For low contrastscenes, a predefined setpoint in the mid-gray region, 40% to 60%, forexample, may be used to set exposure with minimal or no clipping of theends of the histogram. At the predefined mid-gray setpoint, however, theresultant imagery of higher contrast scenes may be less than desirable,with clipping at either or both ends of the histogram, and scenes havinga wide dynamic range, that being in excess of the dynamic range of thesensor, require a setpoint that is a compromise between too much gainand too little. The high and low bin widths and their respectivethresholds are set to constrain the histogram to the central bins,subject to the priorities previously described. The range of the highbin width, 85% to 100% of full white for example, and its associatedthreshold, 10% for example, work to limit clipping at the right end ofthe histogram by lowering the setpoint, but are set to values thatprovide gain stability as well: in scenes with broad areas of similarintensity, the right edge of the histogram will rise steeply towards theleft, resulting in a high sensitivity of saturation to average videolevel. By itself, this high sensitivity could cause gain oscillations ifthe saturation level changed faster than the system can respond. Forstability, the cumulative nature of the width of the high bin and itsthreshold together are set to provide a lower sensitivity of bin contentto average video level than saturation by itself such that the systemremains stable. The values required for stability and best transientresponse will depend upon closed loop gain of the system gaincontroller, transport delays, and bandwidth of system elements; examplevalues given here have been found to provide stability in the presentembodiment. In a manner similar to the high bin, the low bin range isset to include, for example, 0 to 15% of full white, and an associatedthreshold of, for example, 10%. This works to limit clipping the leftend of the histogram by increasing the setpoint. As with the high bin,the low bin width and threshold provide a lower sensitivity of bincontent to average video level than would black clipped (zero valued)pixels by itself, such that the system remains stable. It is common toallow a limited amount of saturation in imagery, 3% or less for example,to accommodate bright lights such as the sun or glint during daytimeoperation or urban lighting at night, in order to still have sufficientgain to see the rest of the scene under most conditions. The saturationthreshold serves to reduce system gain to a value that meets thatobjective.

When performing setpoint adjustment, the highest priority objective isgain reduction. The adaptive setpoint is reduced if either thesaturation (count_(sat) or percentage_(sat)) metric (as shown in FIG. 4)or the high bin metric (count_(hb) or percentage_(hb)) exceeds itsrespective upper limit (as shown in FIG. 5). The smaller of the twoobjectives is used. Saturation is detected prior to non-uniformcorrection (NUC) and black level correction, whereas bright and darkscene content is measured on the corrected video as presented todownstream processing.

The next lower priority objective is gain increase. The adaptivesetpoint is increased if the low bin metric exceeds its upper limit (asshown in FIG. 6). The sensitivity to the low bin metric is reduced bythe onset of saturation and/or high bin scene content, dropping to zeroas either increases. The system converges to an equilibrium point wherebright scene content prevents and further increase in the adaptivesetpoint.

At the lowest priority, the adaptive setpoint moves toward the defaultsetpoint which is a predefined level for low-contrast scenes.

The output of each objective is a gain adjustment to the average videolevel that would correct the controlling video metric of that objective.Boundary values are excluded in order to allow the prioritized selectionlogic to adjust the setpoint based on lower priorities as long as higherpriority objectives are satisfied. Negative feedback from higherpriority objectives to those of lower priority are used to preventsetpoint oscillations between conflicting priorities by reducing lowerpriority gains at the onset of higher priority terms. The setpoint isthen adjusted in proportion to the selected controlling input, forcingan increase or decrease in the average video level in order to controlthe video metrics of FIG. 2 as determined by the prioritized selectionlogic.

Gain correction is based on the setpoint to average video ratio (K_(v)).During video transients, adjusting the setpoint would increase theoverall loop gain, and the increased gain bandwidth product would leadto overshoot or instability. If, for example, the average video levelwere suddenly too high, the setpoint method would reduce the setpoint,further increasing the value of K_(v). For stability, this is preventedby using K_(v to) calculate a low-pass filter update fraction alpha_(s)for setpoint adjustment by the equation

alpha_(s)=max[0,1−K _(vs) *|K _(v) −1|]*K _(alpha)

where |x| is the absolute value of x, K_(vs) is a scaling constant thatsets the slope of alpha_(s) vs. K_(v), and K_(alpha) is asystem-dependent constant that determines the maximum value of alpha_(s)as required to ensure system stability (alpha_max<1.0). Graphically, therelationship of alpha_(s) to K_(v) is shown in FIG. 3.

The setpoint for frame n+1 is then adjusted according to the low-passfilter equation

setpoint^(n+1)=setpoint^(n)*┌alpha_(s) *K _(s)+(1−alpha_(s))┐

where K_(s) is the estimated setpoint needed to correct the videometrics. The result is that the setpoint is adjusted most rapidly whenthe inner control loop is stable, slows down in proportion to the innerloop gain error, and holds steady during large gain errors.

The corrected image data output from the video processing circuitry mayeither be output to a display device directly or may be furtherpost-processed before being output to the display device. For example,post processing circuitry may provide contrast enhancement to enablesmall changes in intensity values to be more readily seen by the humaneye.

For video level stability and to avoid overshoot during video transientsdue to changing scene conditions, the low pass filter must provideappropriate rate control to setpoint adjustment, slowing and stoppingsetpoint adjustment in proportion to the system gain error. Termalpha_(s) is a time constant for an alpha filter or other suitablelow-pass filter response based on the ratiometric system gain error (thesetpoint to average video level ratio) from the system gain controller.The required filter response will depend on the loop response of thesystem gain controller. The term K_(alpha) sets the maximum bandwidthfor the setpoint update low-pass filter. This reduces the overall systemgain-bandwidth product for stability by reducing the rate of change inthe setpoint during video transients while the system gain controllerconverges to the setpoint.

As shown in FIGS. 7 and 8, in one implementation of the adaptive gaincontrol method described herein, the method can be implemented by aseries of first- and second-level processing steps. In those figures,lower case italicized terms are variables to be calculated once perframe while constants have an upper case prefix “K_” such as K_sat_maxor K_high_max. In addition, the setpoint has been normalized to fall inthe range of 0 to 1. (The use of underscores in the flowcharts and theirdescriptions herein is intended to represent how a computer programmermight name a variable that would be written with subscripts inmathematical notations. For example, K_sat_max would be written inmathematical notation as: K_(sat) _(max) .)

Terms “kp_xx” (where “xx” is one of the conditions of the system (e.g.,kp_sat, kp_high, kp_low)) establish setpoint gains as needed by eachmetric when given control by subsequent priority logic. The terms areproportional to the ratio of the metric to its desired maximum orobjective. In addition, terms “kp_n_xx” (where “xx” is one of theconditions of the system (e.g., kp_n_sat, kp_n_high, kp_n_low)) arecross-metric feedback terms that scale the gain of lower priority termskp_xx in subsequent calculations. These terms reduce the setpointcontrol loop gain of lower priority metrics for stability duringtransition between controlling priorities. The range of kp_n_xx islimited to a maximum value of 1.0 (no reduction of lower priority gain)when there is no bin content in the higher priority metric, and islimited to a minimum value of zero (for zero net gain of lower priorityterms) as the higher priority metric approaches its maximum limit. It isimportant to note that in order to eliminate setpoint oscillation bycompeting metrics that the feedback gain, or slope of the kp_n_xx termsmust be such that they reach zero prior to the defining metric reachingits maximum limit. This is established by the scalefactor K_n in thekp_n_xx calculations, where K_n>1.0. The value of K_n will depend on thedynamics of the implemented control system.

As shown in FIG. 7, in step 705 a setpoint is assigned an initial value,and the system is placed in an initial state (e.g., state=4). In step710, the setpoint is then assigned to the gain controller circuitry andthe metrics are received for a next frame (which, during initialization,is a first frame). The metrics (e.g., saturation, high bin, low bin andaverage video level) are then normalized (if they were not received innormalized form), and control passes to the steps of the flowchart ofFIG. 8. The steps of FIG. 8 then determine how, if at all, the metricvariables should be updated based on the normalized metric values. Instep 805, the system determines if the normalized saturation value(“saturation”) is above the threshold value K_sat_max for the currentframe. If it is, the variable kp_sat is set to 1.0 (or to anothermaximum value if the metric variables are not normalized on a 0.0 to 1.0scale). If the system determines that the normalized saturation value isnot above the threshold value K_sat_max for the current frame, then thevariable kp_sat is set to K_sat_max/saturation. In step 810, the systemdetermines if the normalized high bin value (“high_bin”) is above thethreshold value K_high_max for the current frame. If it is, the variablekp_high is set to K_high_max/high bin. If the system determines that thenormalized high bin value is not above the threshold value K_high_maxfor the current frame, then the variable kp_high is set to 1.0 (or toanother maximum value if the metric variables are not normalized on a0.0 to 1.0 scale). A similar process is then performed in step 820 toset the variable kp_low. Having performed the steps 805 and 810, thesystem performs step 815 which sets the variable kp_bright to be thesmaller of the kp_sat and kp_high.

The system also sets the cross-metric feedback terms kp_n_sat, kp_n_highand kp_n_low in steps 825, 830 and 840, respectively. In step 835, thecross-metric feedback terms kp_n_(—)3 is set using the values from steps825 and 830. In step 845, the cross-metric feedback terms kp_n_(—)4 isset using the values from steps 835 and 840. Control then passes back tostep 725 of FIG. 7. In steps 725, 730 and 735, the system determineswhich state it is in so that changes can be made as necessary in steps740, 745 and 750. For example, if in step 725 the system determines that“saturation” is greater than the threshold K_sat_max, then the systemsets its state to state=1, passes control to step 740 and sets thevariable kp_metric (acting as an adjustment metric) to equal kp_bright(which will result in decreasing the setpoint as described later).Similarly, if in step 725 the system determines that “saturation” is notgreater than the threshold K_sat_max, then the system passes control tostep 730. If in step 730 the system determines that “high_bin” isgreater than the threshold K_high_max, then the system sets its state tostate=2, passes control to step 740 and sets the variable kp_metric toequal kp_bright. If in step 730 the system determines that “high_bin” isnot greater than the threshold K_high_max, then the system passescontrol to step 735. If in step 735 the system determines that “low bin”is greater than the threshold K_low_max, then the system sets its stateto state=3, passes control to step 745 and sets the variable kp_metricto equal kp_n_(—)3*(kp_low−1)+1 (which will result in an increase in thesetpoint). If the comparison of step 735 is false, then the system setsits state to state=4 (the initial state), passes control to step 750 andsets the variable kp_metric to equal kp_n_(—)4*(Kp_gray/setpoint(n))+1(which will result in a setpoint for mid-gray values).

After setting the value of kp_metric in step 740, 745 or 750, the systempasses control to step 755 which sets the value of alpha_s. The value ofalpha_s is then used to set the setpoint(n+1) (i.e., the setpoint forframe (n+1)), after which the system constrains setpoint(n+1) to withinupper and lower bounds (10% and 90% of full white, for example) beforereturning control to step 710 for the next frame.

As shown in FIG. 9, an imaging system may utilize plural image sensors(e.g., a UV sensor and an IR sensor), each of which can be controlled byat least one set of video processing circuitry 100. In an embodimentwhere the same circuitry processes image data from both sensors, the lowbin and high bin threshold values may change between image typecalculations, as well as the acceptable max saturation. As a result, thegains applied to each sensor may be different.

FIGS. 10A and 10B show single frames taken from MATLAB math simulatorsimulations of video and represent the expected response of a systemusing a fixed setpoint (FIG. 10A) versus a system using an adaptivesetpoint AGC (FIG. 10B) as described herein. Pixels that are saturatedare displayed in red (jpeg artifacts make pink). The comparison shows anexpected reduction in saturation around areas of urban lighting thatwould otherwise occur, allowing significantly greater grayscaleinformation in those areas. In application, existing methods of contrastenhancement would then be used to improve the imagery in all areas ofthe image, in real time, to the extent possible.

FIGS. 11A and 1 lB show output image metrics taken from a MATLAB mathsimulator simulation of video over about 750 frames of data. As can beseen by comparing FIGS. 11A and 11B, the fixed setpoint of FIG. 11A isexpected to experience greater saturation of images than a system usingthe adaptive setpoint method and system described herein that limitssaturation (and other image characteristics) by adapting the setpoint ofthe method and system. The Appendix included herewith (and which forms aportion of the specification) shows another exemplary run of a simulatedsystem and shows how various metric values change and how the systemtransitions between various states while performing adaptive control.

The above-described method of performing gain control can be integratedinto the design of the image sensor itself for space-constrainedapplications such as night vision goggles or cameras (including, but notlimited to cellphone cameras). The controlling constants as describedabove can further be modified as needed for application of the method todifferent sensors, including visible, IR, or other imaging sensors thathave widely different spectral and temporal responses. Furthermore,although some values (such as thresholds) have been described asconstants (e.g., bin widths, limits, and other constants), those valuescan themselves be variables to be adjusted based on other parameters orobjectives such as user controls, other measurements such as objectsdetected in the imagery itself, mission objectives, and scenecharacteristics as determined by other means.

While certain configurations of structures have been illustrated for thepurposes of presenting the basic structures of the present invention,one of ordinary skill in the art will appreciate that other variationsare possible which would still fall within the scope of the appendedclaims.

DATA APPENDIX frame sat_ok high_ok low_ok kp_saturation kp_high_binkp_low_bin gain_control setpoint_out state 1 0 1 1 0.504 1 1 2 0.9 1 2 01 1 0.504 1 1 2 0.9 1 3 0 1 1 0.503 1 1 2 0.9 1 4 0 1 1 0.505 1 1 1.9880.879 1 5 0 1 1 0.293 1 1 1.521 0.859 1 6 0 0 1 0.165 0.397 1 1.2420.837 1 7 0 0 1 0.051 0.253 1 1.111 0.815 1 8 0 0 1 0.034 0.22 1 1.0450.793 1 9 0 0 1 0.029 0.209 1 1.002 0.772 1 10 0 0 1 0.027 0.207 1 0.9710.751 1 11 0 0 1 0.028 0.209 1 0.947 0.73 1 12 0 0 1 0.03 0.214 1 0.9280.711 1 13 0 0 1 0.034 0.223 1 0.913 0.691 1 14 0 0 1 0.038 0.238 10.903 0.673 1 15 0 0 1 0.047 0.259 1 0.896 0.655 1 16 0 0 1 0.058 0.2841 0.891 0.637 1 17 0 0 1 0.077 0.336 1 0.89 0.62 1 18 0 0 1 0.107 0.3911 0.89 0.603 1 19 0 0 1 0.145 0.495 1 0.892 0.587 1 20 0 0 1 0.171 0.6591 0.895 0.571 1 21 0 0 1 0.19 0.895 1 0.897 0.556 1 22 0 1 1 0.206 1 10.899 0.541 1 23 0 1 1 0.219 1 1 0.9 0.527 1 24 0 1 1 0.233 1 1 0.9010.513 1 25 0 1 1 0.245 1 1 0.902 0.499 1 26 0 1 1 0.258 1 1 0.903 0.4851 27 0 1 1 0.271 1 1 0.903 0.472 1 28 0 1 1 0.287 1 1 0.904 0.46 1 29 01 1 0.304 1 1 0.904 0.447 1 30 0 1 1 0.32 1 1 0.904 0.435 1 31 0 1 10.339 1 1 0.904 0.424 1 32 0 1 1 0.363 1 1 0.905 0.412 1 33 0 1 1 0.3921 1 0.905 0.401 1 34 0 1 1 0.418 1 1 0.905 0.39 1 35 0 1 1 0.443 1 10.905 0.38 1 36 0 1 1 0.464 1 1 0.905 0.37 1 37 0 1 1 0.493 1 1 0.9060.36 1 38 0 1 1 0.523 1 1 0.906 0.35 1 39 0 1 1 0.566 1 1 0.906 0.341 140 0 1 1 0.609 1 1 0.906 0.331 1 41 0 1 1 0.669 1 1 0.906 0.323 1 42 0 11 0.728 1 1 0.906 0.314 1 43 0 1 1 0.824 1 1 0.907 0.305 1 44 1 1 1 1 11 0.932 0.305 4 45 1 1 1 1 1 1 0.954 0.305 4 46 1 1 1 1 1 1 0.971 0.3054 47 1 1 0 1 1 1.124 0.982 0.306 3 48 1 1 0 1 1 1.138 0.989 0.306 3 49 11 0 1 1 1.141 0.994 0.306 3 50 1 1 0 1 1 1.159 0.997 0.306 3 51 1 1 0 11 1.148 0.999 0.306 3 52 1 1 0 1 1 1.161 1 0.306 3 53 1 1 0 1 1 1.1631.001 0.307 3 54 1 1 0 1 1 1.155 1.001 0.307 3 55 1 1 0 1 1 1.153 1.0010.307 3 56 1 1 0 1 1 1.155 1.002 0.307 3 57 1 1 0 1 1 1.159 1.002 0.3073 58 1 1 0 1 1 1.152 1.002 0.307 3 59 1 1 0 1 1 1.16 1.002 0.308 3 60 11 0 1 1 1.155 1.002 0.308 3 61 1 1 0 1 1 1.158 1.002 0.308 3 62 1 1 0 11 1.144 1.002 0.308 3 63 1 1 0 1 1 1.147 1.002 0.308 3 64 1 1 0 1 11.142 1.002 0.308 3 65 1 1 0 1 1 1.148 1.002 0.308 3 66 1 1 0 1 1 1.1431.002 0.309 3 67 1 1 0 1 1 1.152 1.002 0.309 3 68 1 1 0 1 1 1.142 1.0020.309 3 69 1 1 0 1 1 1.142 1.002 0.309 3 70 1 1 0 1 1 1.141 1.002 0.3093 71 1 1 0 1 1 1.141 1.002 0.309 3 72 1 1 0 1 1 1.133 1.002 0.31 3 73 11 0 1 1 1.136 1.002 0.31 3 74 1 1 0 1 1 1.136 1.002 0.31 3 75 1 1 0 1 11.123 1.002 0.31 3 76 1 1 0 1 1 1.142 1.002 0.31 3 77 1 1 0 1 1 1.141.001 0.31 3 78 1 1 0 1 1 1.137 1.001 0.31 3 79 1 1 0 1 1 1.129 1.0010.31 3 80 1 1 0 1 1 1.124 1.001 0.311 3 81 1 1 0 1 1 1.123 1.001 0.311 382 1 1 0 1 1 1.129 1.001 0.311 3 83 1 1 0 1 1 1.123 1.001 0.311 3 84 1 10 1 1 1.124 1.001 0.311 3 85 1 1 0 1 1 1.124 1.001 0.311 3 86 1 1 0 1 11.13 1.001 0.311 3 87 1 1 0 1 1 1.121 1.001 0.311 3 88 1 1 0 1 1 1.1261.001 0.311 3 89 1 1 0 1 1 1.122 1.001 0.312 3 90 1 1 0 1 1 1.124 1.0010.312 3 91 1 1 0 1 1 1.121 1.001 0.312 3 92 1 1 0 1 1 1.115 1.001 0.3123 93 1 1 0 1 1 1.113 1.001 0.312 3 94 1 1 0 1 1 1.116 1.001 0.312 3 95 11 0 1 1 1.112 1.001 0.312 3 96 1 1 1 1 1 1 1.001 0.312 4 97 1 1 0 1 11.114 1.001 0.312 3 98 1 1 0 1 1 1.112 1.001 0.312 3 99 1 1 0 1 1 1.1121.001 0.312 3 100 1 1 1 1 1 1 1.001 0.312 4 101 1 1 0 1 1 1.116 1.0010.313 3 102 1 1 0 1 1 1.115 1.001 0.313 3 103 1 1 0 1 1 1.111 1.0010.313 3 104 1 1 0 1 1 1.112 1.001 0.313 3 105 1 1 1 1 1 1 1.001 0.313 4106 1 1 1 1 1 1 1 0.313 4 107 1 1 0 1 1 1.112 1 0.313 3 108 1 1 0 1 11.112 1.001 0.313 3 109 1 1 1 1 1 1 1 0.313 4 110 1 1 1 1 1 1 1 0.313 4111 1 1 1 1 1 1 1 0.313 4 112 1 1 1 1 1 1 1 0.313 4 113 1 1 1 1 1 1 10.313 4 114 1 1 1 1 1 1 1 0.313 4 115 1 1 1 1 1 1 1 0.313 4 116 1 1 1 11 1 1 0.313 4 117 1 1 1 1 1 1 1 0.313 4 118 1 1 1 1 1 1 1 0.313 4 119 11 1 1 1 1 1 0.313 4 120 1 1 1 1 1 1 1 0.313 4 121 1 1 1 1 1 1 1 0.313 4122 1 1 1 1 1 1 1 0.313 4 123 1 1 1 1 1 1 1 0.313 4 124 1 1 1 1 1 1 10.313 4 125 1 1 1 1 1 1 1 0.313 4 126 1 1 1 1 1 1 1 0.313 4 127 1 1 1 11 1 1 0.313 4 128 1 1 1 1 1 1 1 0.313 4 129 1 1 1 1 1 1 1 0.313 4 130 11 1 1 1 1 1 0.313 4 131 1 1 1 1 1 1 1 0.313 4 132 1 1 1 1 1 1 1 0.313 4133 1 1 1 1 1 1 1 0.313 4 134 1 1 1 1 1 1 1 0.313 4 135 1 1 1 1 1 1 10.313 4 136 1 1 1 1 1 1 1 0.313 4 137 1 1 1 1 1 1 1 0.313 4 138 1 1 1 11 1 1 0.313 4 139 1 1 1 1 1 1 1 0.313 4 140 1 1 1 1 1 1 1 0.313 4 141 11 0 1 1 1.111 1 0.313 3 142 1 1 1 1 1 1 1 0.313 4 143 1 1 1 1 1 1 10.313 4 144 1 1 1 1 1 1 1 0.313 4 145 1 1 1 1 1 1 1 0.313 4 146 1 1 1 11 1 1 0.313 4 147 1 1 1 1 1 1 1 0.313 4 148 1 1 1 1 1 1 1 0.313 4 149 11 1 1 1 1 1 0.313 4 150 1 1 1 1 1 1 1 0.313 4 151 1 1 1 1 1 1 1 0.313 4152 1 1 1 1 1 1 1 0.313 4 153 1 1 1 1 1 1 1 0.313 4 154 1 1 1 1 1 1 10.313 4 155 1 1 1 1 1 1 1 0.313 4 156 1 1 1 1 1 1 1 0.313 4 157 1 1 1 11 1 1 0.313 4 158 1 1 1 1 1 1 1 0.313 4 159 1 1 1 1 1 1 1 0.313 4 160 11 1 1 1 1 1 0.313 4 161 1 1 1 1 1 1 1 0.313 4 162 1 1 1 1 1 1 1 0.313 4163 1 1 0 1 1 1.111 1 0.313 3 164 1 1 1 1 1 1 1 0.313 4 165 1 1 1 1 1 11 0.313 4 166 1 1 0 1 1 1.111 1 0.313 3 167 1 1 1 1 1 1 1 0.313 4 168 11 1 1 1 1 1 0.313 4 169 1 1 1 1 1 1 1 0.313 4 170 1 1 1 1 1 1 1 0.313 4171 1 1 1 1 1 1 1 0.313 4 172 1 1 1 1 1 1 1 0.313 4 173 1 1 1 1 1 1 10.313 4 174 1 1 1 1 1 1 1 0.313 4 175 1 1 1 1 1 1 1 0.313 4 176 1 1 1 11 1 1 0.313 4 177 1 1 1 1 1 1 1 0.313 4 178 1 1 1 1 1 1 1 0.313 4 179 11 1 1 1 1 1 0.313 4 180 1 1 1 1 1 1 1 0.313 4 181 1 1 1 1 1 1 1 0.313 4182 1 1 1 1 1 1 1 0.313 4 183 1 1 1 1 1 1 1 0.313 4 184 1 1 1 1 1 1 10.313 4 185 1 1 1 1 1 1 1 0.313 4 186 1 1 1 1 1 1 1 0.313 4 187 1 1 1 11 1 1 0.313 4 188 1 1 1 1 1 1 1 0.313 4 189 1 1 1 1 1 1 1 0.313 4 190 11 1 1 1 1 1 0.313 4 191 1 1 1 1 1 1 1 0.313 4 192 1 1 1 1 1 1 1 0.313 4193 1 1 1 1 1 1 1 0.313 4 194 1 1 1 1 1 1 1 0.313 4 195 1 1 1 1 1 1 10.313 4 196 1 1 1 1 1 1 1 0.313 4 197 1 1 1 1 1 1 1 0.313 4 198 1 1 1 11 1 1 0.313 4 199 1 1 1 1 1 1 1 0.313 4 200 1 1 1 1 1 1 1 0.313 4 201 11 1 1 1 1 1 0.313 4 202 1 1 1 1 1 1 0.985 0.314 4 203 1 1 1 1 1 1 0.9940.315 4 204 1 1 1 1 1 1 0.999 0.316 4 205 1 1 1 1 1 1 1.006 0.317 4 2061 1 1 1 1 1 1.008 0.317 4 207 1 1 0 1 1 1.289 1.027 0.317 3 208 1 1 1 11 1 1.004 0.317 4 209 1 1 1 1 1 1 1.001 0.317 4 210 1 1 1 1 1 1 0.9990.317 4 211 1 1 1 1 1 1 0.995 0.317 4 212 1 1 1 1 1 1 0.996 0.318 4 2131 1 0 1 1 1.185 1.013 0.318 3 214 1 1 1 1 1 1 0.977 0.318 4 215 1 1 1 11 1 0.985 0.318 4 216 1 1 1 1 1 1 1.005 0.318 4 217 1 1 1 1 1 1 1.0070.318 4 218 1 1 1 1 1 1 1.001 0.319 4 219 1 1 1 1 1 1 1.005 0.319 4 2201 1 1 1 1 1 1.002 0.32 4 221 1 1 1 1 1 1 0.999 0.32 4 222 1 1 1 1 1 11.006 0.32 4 223 1 1 1 1 1 1 0.994 0.32 4 224 1 1 1 1 1 1 1 0.321 4 2251 1 1 1 1 1 0.998 0.321 4 226 1 1 1 1 1 1 1.001 0.322 4 227 1 1 1 1 1 10.993 0.322 4 228 1 1 1 1 1 1 0.999 0.322 4 229 1 1 1 1 1 1 1.005 0.3224 230 1 1 1 1 1 1 1.012 0.323 4 231 1 1 1 1 1 1 1.014 0.323 4 232 1 1 11 1 1 1.002 0.323 4 233 1 1 1 1 1 1 0.992 0.323 4 234 1 1 1 1 1 1 1.0030.323 4 235 1 1 1 1 1 1 1.013 0.323 4 236 1 1 1 1 1 1 0.989 0.323 4 2371 1 1 1 1 1 0.991 0.323 4 238 1 1 1 1 1 1 1.017 0.323 4 239 1 1 1 1 1 11.007 0.323 4 240 1 1 1 1 1 1 1.008 0.323 4 241 1 1 1 1 1 1 1.006 0.3234 242 1 1 1 1 1 1 1.01 0.323 4 243 1 1 1 1 1 1 1 0.323 4 244 1 1 1 1 1 11.004 0.323 4 245 0 1 1 0.894 1 1 0.97 0.315 1 246 1 1 1 1 1 1 0.960.315 4 247 1 1 1 1 1 1 0.979 0.315 4 248 1 1 1 1 1 1 0.972 0.315 4 2491 1 1 1 1 1 0.982 0.316 4 250 1 1 1 1 1 1 1.006 0.316 4 251 1 1 0 1 11.141 1.014 0.316 3 252 1 1 1 1 1 1 1.004 0.317 4 253 1 1 1 1 1 1 1.0080.317 4 254 1 1 1 1 1 1 1.011 0.317 4 255 1 1 1 1 1 1 1.006 0.317 4 2561 1 0 1 1 1.32 1.029 0.317 3 257 1 1 0 1 1 1.175 1.016 0.317 3 258 1 1 11 1 1 1.007 0.317 4 259 0 1 1 0.892 1 1 0.979 0.309 1 260 1 1 0 1 11.158 0.982 0.309 3 261 1 1 1 1 1 1 0.983 0.309 4 262 1 1 0 1 1 1.2051.002 0.309 3 263 1 1 0 1 1 1.19 1.002 0.309 3 264 1 1 0 1 1 1.255 1.0070.309 3 265 1 1 0 1 1 1.247 1.003 0.309 3 266 1 1 0 1 1 1.147 0.9950.309 3 267 1 1 0 1 1 1.149 0.999 0.309 3 268 1 1 0 1 1 1.164 1.0030.309 3 269 1 1 0 1 1 1.3 1.009 0.309 3 270 1 1 0 1 1 1.157 0.995 0.3093 271 1 1 0 1 1 1.178 0.998 0.309 3 272 1 1 0 1 1 1.313 1.01 0.309 3 2731 1 0 1 1 1.146 1 0.309 3 274 1 1 0 1 1 1.156 0.995 0.309 3 275 1 1 0 11 1.407 1.006 0.309 3 276 0 1 0 0.895 1 1.151 0.964 0.3 1 277 1 1 0 1 11.147 0.967 0.3 3 278 1 1 0 1 1 1.402 0.992 0.3 3 279 1 1 0 1 1 1.2040.983 0.3 3 280 1 1 0 1 1 1.161 0.987 0.3 3 281 1 1 0 1 1 1.38 1 0.3 3282 1 1 1 1 1 1 0.989 0.3 4 283 1 1 0 1 1 1.125 0.994 0.3 3 284 1 1 0 11 1.675 1.027 0.301 3 285 1 1 0 1 1 1.348 1.009 0.301 3 286 1 1 0 1 11.333 1.004 0.301 3 287 1 1 0 1 1 1.213 0.993 0.301 3 288 1 1 0 1 11.719 1.027 0.301 3 289 1 1 0 1 1 1.177 0.993 0.301 3 290 1 1 0 1 11.558 1.013 0.301 3 291 1 1 0 1 1 1.461 1.012 0.301 3 292 1 1 0 1 11.623 1.016 0.301 3 293 1 1 0 1 1 1.587 1.01 0.301 3 294 1 1 0 1 1 1.7631.021 0.301 3 295 1 1 0 1 1 1.448 0.996 0.301 3 296 1 1 0 1 1 1.6081.008 0.301 3 297 0 1 0 0.897 1 1.573 0.976 0.293 1 298 1 1 0 1 1 1.6080.981 0.293 3 299 1 1 0 1 1 1.699 0.991 0.293 3 300 1 1 0 1 1 1.5470.986 0.293 3 301 1 1 0 1 1 1.652 0.993 0.293 3 302 1 1 0 1 1 1.7010.996 0.293 3 303 1 1 0 1 1 1.77 0.997 0.293 3 304 1 1 0 1 1 1.695 0.9990.293 3 305 1 1 0 1 1 1.684 0.999 0.293 3 306 1 1 0 1 1 1.862 1.0070.293 3 307 1 1 0 1 1 1.594 0.992 0.293 3 308 1 1 0 1 1 1.66 0.99 0.2933 309 1 1 0 1 1 1.82 1.008 0.293 3 310 1 1 0 1 1 1.644 0.998 0.293 3 3111 1 0 1 1 1.615 0.995 0.293 3 312 1 1 0 1 1 2.096 1.018 0.293 3 313 1 10 1 1 1.699 0.995 0.293 3 314 1 1 0 1 1 1.834 1.001 0.293 3 315 1 1 0 11 2.045 1.008 0.293 3 316 1 1 0 1 1 1.848 1.001 0.293 3 317 1 1 0 1 11.747 0.993 0.293 3 318 1 1 0 1 1 2.281 1.021 0.293 3 319 0 1 0 0.889 11.872 0.973 0.285 1 320 1 1 0 1 1 1.769 0.971 0.285 3 321 1 1 0 1 11.996 0.985 0.285 3 322 1 1 0 1 1 1.887 0.989 0.285 3 323 1 1 0 1 11.832 0.985 0.285 3 324 1 1 0 1 1 2.254 1.012 0.285 3 325 1 1 0 1 11.998 1.002 0.285 3 326 1 1 0 1 1 1.488 0.972 0.285 3 327 1 1 0 1 11.831 0.992 0.285 3 328 1 1 0 1 1 1.836 0.996 0.285 3 329 1 1 0 1 11.808 0.998 0.285 3 330 1 1 0 1 1 1.899 0.998 0.285 3 331 1 1 0 1 12.219 1.007 0.285 3 332 1 1 0 1 1 1.641 0.983 0.285 3 333 1 1 0 1 12.161 1.002 0.285 3 334 1 1 0 1 1 1.905 0.992 0.285 3 335 1 1 0 1 11.842 0.994 0.285 3 336 1 1 0 1 1 2.004 0.999 0.285 3 337 1 1 0 1 11.663 0.982 0.285 3 338 1 1 0 1 1 1.792 0.989 0.285 3 339 1 1 0 1 11.495 0.977 0.285 3 340 1 1 0 1 1 1.964 1.004 0.285 3 341 1 1 0 1 11.393 0.975 0.285 3 342 1 1 0 1 1 1.482 0.98 0.285 3 343 1 1 0 1 1 1.4150.981 0.285 3 344 1 1 0 1 1 1.357 0.983 0.285 3 345 1 1 0 1 1 1.2820.982 0.286 3 346 1 1 0 1 1 1.512 0.999 0.286 3 347 1 1 0 1 1 1.2380.983 0.286 3 348 1 1 0 1 1 1.46 1 0.286 3 349 1 1 0 1 1 1.515 1.0060.286 3 350 1 1 0 1 1 1.22 0.99 0.286 3 351 1 1 0 1 1 1.329 0.995 0.2873 352 1 1 0 1 1 1.405 1.008 0.287 3 353 1 1 0 1 1 1.487 1.012 0.287 3354 1 1 0 1 1 1.311 0.999 0.287 3 355 1 1 0 1 1 1.27 0.998 0.287 3 356 11 0 1 1 1.308 1.009 0.287 3 357 1 1 0 1 1 1.337 1.015 0.288 3 358 1 1 01 1 1.5 1.026 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0.99 0.281 3 419 1 1 0 1 1 2.798 1.001 0.281 3 420 1 1 01 1 2.736 1.001 0.281 3 421 1 1 0 1 1 2.667 0.995 0.281 3 422 1 1 0 1 12.429 0.988 0.282 3 423 1 1 0 1 1 2.662 0.998 0.282 3 424 1 1 0 1 12.285 0.982 0.282 3 425 1 1 0 1 1 2.553 0.993 0.282 3 426 1 1 0 1 12.392 0.994 0.282 3 427 1 1 0 1 1 2.323 0.982 0.282 3 428 1 1 0 1 12.172 0.985 0.282 3 429 1 1 0 1 1 2.304 0.994 0.282 3 430 1 1 0 1 12.327 0.999 0.282 3 431 1 1 0 1 1 1.844 0.978 0.282 3 432 1 1 0 1 12.183 0.991 0.282 3 433 1 1 0 1 1 2.053 0.989 0.282 3 434 1 1 0 1 11.941 0.989 0.283 3 435 1 1 0 1 1 2.059 0.998 0.283 3 436 1 1 0 1 11.927 0.997 0.283 3 437 1 1 0 1 1 1.958 0.997 0.283 3 438 1 1 0 1 11.673 0.982 0.283 3 439 1 1 0 1 1 1.795 0.992 0.283 3 440 1 1 0 1 1 1.740.994 0.283 3 441 1 1 0 1 1 1.644 0.997 0.283 3 442 1 1 0 1 1 1.9681.008 0.283 3 443 1 1 0 1 1 1.776 0.993 0.284 3 444 1 1 0 1 1 1.8091.002 0.284 3 445 1 1 0 1 1 1.718 0.993 0.284 3 446 1 1 0 1 1 1.3540.977 0.284 3 447 1 1 0 1 1 1.372 0.983 0.284 3 448 1 1 0 1 1 1.5580.993 0.284 3 449 1 1 0 1 1 1.624 1.002 0.284 3 450 1 1 0 1 1 1.4130.995 0.284 3 451 1 1 0 1 1 1.339 0.991 0.284 3 452 1 1 0 1 1 1.327 0.990.285 3 453 1 1 0 1 1 1.324 0.991 0.285 3 454 1 1 0 1 1 1.607 1.0130.285 3 455 1 1 0 1 1 1.433 0.999 0.285 3 456 1 1 0 1 1 1.39 0.994 0.2853 457 1 1 0 1 1 1.405 0.996 0.285 3 458 1 1 0 1 1 1.343 0.991 0.285 3459 1 1 0 1 1 1.506 1.002 0.285 3 460 1 1 0 1 1 1.629 1.008 0.285 3 4611 1 0 1 1 1.494 0.997 0.286 3 462 1 1 0 1 1 1.551 0.995 0.286 3 463 1 10 1 1 1.82 1.014 0.286 3 464 1 1 0 1 1 1.777 1.009 0.286 3 465 1 1 0 1 11.535 0.986 0.286 3 466 1 1 0 1 1 1.967 1.013 0.286 3 467 1 1 0 1 1 1.911.006 0.286 3 468 1 1 0 1 1 1.768 0.996 0.286 3 469 1 1 0 1 1 2.2281.015 0.286 3 470 1 1 0 1 1 1.946 1 0.286 3 471 1 1 0 1 1 1.861 0.9890.286 3 472 1 1 0 1 1 2.252 1.008 0.286 3 473 1 1 0 1 1 2.216 1.0040.286 3 474 1 1 0 1 1 1.995 0.992 0.286 3 475 1 1 0 1 1 2.514 1.0080.286 3 476 1 1 0 1 1 2.565 1.01 0.286 3 477 1 1 0 1 1 2.382 1.004 0.2873 478 1 1 0 1 1 2.436 1.002 0.287 3 479 1 1 0 1 1 2.629 1.006 0.287 3480 1 1 0 1 1 2.422 0.995 0.287 3 481 1 1 0 1 1 2.309 0.992 0.287 3 4821 1 0 1 1 2.748 1.007 0.287 3 483 1 1 0 1 1 2.396 0.989 0.287 3 484 1 10 1 1 2.396 0.99 0.287 3 485 1 1 0 1 1 2.559 1 0.287 3 486 1 1 0 1 12.264 0.988 0.287 3 487 1 1 0 1 1 2.237 0.99 0.287 3 488 1 1 0 1 1 2.6881.003 0.287 3 489 1 1 0 1 1 2.365 0.993 0.287 3 490 1 1 0 1 1 2.5260.999 0.287 3 491 1 1 0 1 1 2.494 1.001 0.287 3 492 1 1 0 1 1 2.6180.998 0.287 3 493 1 1 0 1 1 2.422 0.993 0.287 3 494 1 1 0 1 1 2.5250.997 0.287 3 495 1 1 0 1 1 2.782 1 0.287 3 496 1 1 0 1 1 2.667 0.9960.287 3 497 1 1 0 1 1 2.836 1.002 0.287 3 498 1 1 0 1 1 2.678 0.9920.287 3 499 1 1 0 1 1 2.365 0.981 0.287 3 500 1 1 0 1 1 2.867 1.0040.287 3 501 1 1 0 1 1 2.629 0.996 0.287 3 502 1 1 0 1 1 2.596 0.9890.287 3 503 1 1 0 1 1 2.745 0.996 0.287 3 504 1 1 0 1 1 2.62 0.991 0.2873 505 1 1 0 1 1 2.776 0.993 0.287 3 506 1 1 0 1 1 2.645 0.989 0.287 3507 1 1 0 1 1 2.725 0.995 0.287 3 508 1 1 0 1 1 2.886 0.996 0.287 3 5091 1 0 1 1 2.678 0.992 0.287 3 510 1 1 0 1 1 2.829 0.996 0.287 3 511 1 10 1 1 2.647 0.989 0.287 3 512 1 1 0 1 1 2.54 0.986 0.287 3 513 1 1 0 1 12.983 0.998 0.287 3 514 1 1 0 1 1 2.719 0.99 0.287 3 515 1 1 0 1 1 2.9661.003 0.287 3 516 1 1 0 1 1 2.694 0.99 0.287 3 517 0 1 0 0.889 1 2.6150.953 0.279 1 518 1 1 0 1 1 2.581 0.946 0.279 3 519 1 1 0 1 1 2.86 0.9630.279 3 520 1 1 0 1 1 3.044 0.977 0.279 3 521 1 1 0 1 1 2.837 0.9730.279 3 522 1 1 0 1 1 3.379 0.995 0.279 3 523 1 1 0 1 1 2.91 0.982 0.2793 524 1 1 0 1 1 3.127 0.99 0.279 3 525 1 1 0 1 1 3.457 1 0.279 3 526 1 10 1 1 3.134 0.99 0.279 3 527 1 1 0 1 1 2.943 0.988 0.279 3 528 1 1 0 1 13.255 0.994 0.279 3 529 1 1 0 1 1 3.234 1.003 0.279 3 530 1 1 0 1 12.789 0.985 0.279 3 531 1 1 0 1 1 2.923 0.989 0.279 3 532 1 1 0 1 12.946 0.992 0.279 3 533 1 1 0 1 1 2.622 0.985 0.279 3 534 1 1 0 1 12.599 0.986 0.279 3 535 1 1 0 1 1 2.986 0.999 0.279 3 536 1 1 0 1 1 2.460.986 0.279 3 537 1 1 0 1 1 2.525 0.99 0.279 3 538 1 1 0 1 1 2.394 0.990.279 3 539 1 1 0 1 1 2.233 0.986 0.279 3 540 1 1 0 1 1 2.357 0.9930.279 3 541 1 1 0 1 1 2.29 0.993 0.279 3 542 1 1 0 1 1 2.047 0.989 0.2793 543 1 1 0 1 1 2.087 0.993 0.279 3 544 1 1 0 1 1 2.046 0.993 0.279 3545 1 1 0 1 1 1.893 0.989 0.279 3 546 1 1 0 1 1 1.904 0.991 0.279 3 5471 1 0 1 1 1.718 0.989 0.28 3 548 1 1 0 1 1 1.821 0.995 0.28 3 549 1 1 01 1 1.549 0.988 0.28 3 550 1 1 0 1 1 1.891 1.003 0.28 3 551 1 1 0 1 11.722 1.002 0.28 3 552 1 1 0 1 1 1.773 1.005 0.28 3 553 1 1 0 1 1 1.6971.003 0.28 3 554 1 1 0 1 1 1.389 0.986 0.28 3 555 1 1 0 1 1 1.188 0.9790.28 3 556 1 1 0 1 1 1.197 0.989 0.28 3 557 1 1 1 1 1 1 0.987 0.28 4 5581 1 1 1 1 1 0.982 0.282 4 559 1 1 1 1 1 1 0.996 0.283 4 560 1 1 1 1 1 10.989 0.284 4 561 1 1 1 1 1 1 1.001 0.286 4 562 1 1 1 1 1 1 1 0.287 4563 1 1 1 1 1 1 0.988 0.287 4 564 1 1 1 1 1 1 0.993 0.288 4 565 1 1 1 11 1 1.011 0.29 4 566 1 1 1 1 1 1 0.998 0.29 4 567 1 1 1 1 1 1 0.9850.291 4 568 1 1 1 1 1 1 0.994 0.292 4 569 1 1 1 1 1 1 0.995 0.292 4 5701 1 1 1 1 1 0.993 0.293 4 571 1 1 1 1 1 1 1.005 0.294 4 572 1 1 1 1 1 11 0.295 4 573 1 1 1 1 1 1 0.995 0.296 4 574 1 1 1 1 1 1 0.992 0.296 4575 1 1 1 1 1 1 0.993 0.297 4 576 1 1 1 1 1 1 0.995 0.297 4 577 1 1 1 11 1 0.988 0.298 4 578 1 1 1 1 1 1 1.003 0.298 4 579 1 1 1 1 1 1 0.9980.299 4 580 1 1 1 1 1 1 0.996 0.299 4 581 1 1 1 1 1 1 1.002 0.3 4 582 11 1 1 1 1 0.995 0.3 4 583 1 1 1 1 1 1 0.998 0.3 4 584 1 1 1 1 1 1 0.9990.3 4 585 1 1 1 1 1 1 0.997 0.3 4 586 1 1 1 1 1 1 0.992 0.3 4 587 1 1 11 1 1 0.996 0.301 4 588 1 1 1 1 1 1 0.988 0.301 4 589 1 1 1 1 1 1 0.9930.301 4 590 1 1 1 1 1 1 0.997 0.301 4 591 1 1 1 1 1 1 0.986 0.301 4 5921 1 1 1 1 1 0.983 0.301 4 593 1 1 1 1 1 1 0.986 0.301 4 594 1 1 1 1 1 10.989 0.302 4 595 1 1 1 1 1 1 0.986 0.302 4 596 1 1 1 1 1 1 0.988 0.3034 597 1 1 1 1 1 1 0.979 0.303 4 598 1 1 1 1 1 1 0.987 0.304 4 599 1 1 11 1 1 0.986 0.305 4 600 1 1 1 1 1 1 0.987 0.305 4 601 1 1 1 1 1 1 0.9880.306 4 602 1 1 1 1 1 1 0.994 0.307 4 603 1 1 1 1 1 1 0.99 0.307 4 604 11 1 1 1 1 0.986 0.308 4 605 1 1 1 1 1 1 1 0.309 4 606 1 1 1 1 1 1 0.9970.309 4 607 1 1 1 1 1 1 0.994 0.31 4 608 1 1 1 1 1 1 0.993 0.31 4 609 11 1 1 1 1 0.997 0.311 4 610 1 1 1 1 1 1 0.992 0.312 4 611 1 1 1 1 1 10.99 0.312 4 612 1 1 1 1 1 1 0.996 0.313 4 613 1 1 1 1 1 1 1.003 0.314 4614 1 1 1 1 1 1 1.005 0.315 4 615 1 1 1 1 1 1 1.008 0.315 4 616 1 1 1 11 1 1.005 0.316 4 617 1 1 1 1 1 1 1.001 0.316 4 618 1 1 1 1 1 1 1 0.3164 619 1 1 1 1 1 1 1.002 0.317 4 620 1 1 1 1 1 1 1.01 0.317 4 621 1 1 1 11 1 1.009 0.317 4 622 1 1 1 1 1 1 1.005 0.317 4 623 1 1 1 1 1 1 1 0.3174 624 1 1 1 1 1 1 0.997 0.317 4 625 1 1 1 1 1 1 1 0.317 4 626 1 1 1 1 11 0.996 0.317 4 627 1 1 1 1 1 1 0.994 0.317 4 628 1 1 1 1 1 1 0.9990.317 4 629 1 1 1 1 1 1 0.99 0.317 4 630 1 1 1 1 1 1 0.995 0.317 4 631 01 1 0.896 1 1 0.966 0.308 1 632 1 1 1 1 1 1 0.967 0.308 4 633 1 1 1 1 11 0.974 0.308 4 634 1 1 1 1 1 1 0.977 0.308 4 635 1 1 1 1 1 1 0.9870.308 4 636 1 1 1 1 1 1 0.993 0.308 4 637 1 1 1 1 1 1 0.99 0.308 4 638 11 1 1 1 1 0.995 0.308 4 639 1 1 1 1 1 1 1.005 0.308 4 640 1 1 1 1 1 10.999 0.308 4 641 1 1 1 1 1 1 0.996 0.308 4 642 1 1 1 1 1 1 0.998 0.3084 643 1 1 1 1 1 1 0.997 0.308 4 644 1 1 1 1 1 1 0.995 0.308 4 645 1 1 11 1 1 0.995 0.308 4 646 1 1 1 1 1 1 1.001 0.308 4 647 1 1 1 1 1 1 0.9930.308 4 648 1 1 1 1 1 1 0.997 0.308 4 649 1 1 1 1 1 1 1.023 0.308 4 6501 1 1 1 1 1 1.02 0.308 4 651 0 1 1 0.899 1 1 0.986 0.3 1 652 0 1 1 0.8881 1 0.961 0.292 1 653 1 1 1 1 1 1 0.965 0.292 4 654 1 1 1 1 1 1 0.9720.292 4 655 1 1 1 1 1 1 0.989 0.292 4 656 1 1 1 1 1 1 0.991 0.293 4 6571 1 1 1 1 1 0.992 0.293 4 658 1 1 1 1 1 1 1.004 0.294 4 659 1 1 1 1 1 11.001 0.295 4 660 1 1 1 1 1 1 0.996 0.295 4 661 1 1 1 1 1 1 1.004 0.2964 662 1 1 1 1 1 1 1.004 0.297 4 663 1 1 1 1 1 1 0.997 0.297 4 664 1 1 11 1 1 1.006 0.297 4 665 1 1 1 1 1 1 1.003 0.297 4 666 1 1 1 1 1 1 1.0020.298 4 667 1 1 1 1 1 1 1.005 0.298 4 668 1 1 1 1 1 1 1.005 0.298 4 6691 1 1 1 1 1 1 0.298 4 670 1 1 1 1 1 1 1.003 0.298 4 671 1 1 1 1 1 10.998 0.298 4 672 1 1 1 1 1 1 0.995 0.298 4 673 1 1 1 1 1 1 0.997 0.2984 674 1 1 1 1 1 1 0.994 0.298 4 675 1 1 1 1 1 1 0.987 0.298 4 676 1 1 11 1 1 0.995 0.298 4 677 1 1 1 1 1 1 0.999 0.298 4 678 1 1 1 1 1 1 0.9880.298 4 679 1 1 1 1 1 1 1 0.298 4 680 1 1 1 1 1 1 1.002 0.298 4 681 1 11 1 1 1 0.998 0.298 4 682 1 1 1 1 1 1 0.981 0.299 4 683 1 1 1 1 1 11.019 0.303 4 684 1 1 1 1 1 1 1.029 0.308 4 685 1 1 1 1 1 1 1.022 0.3084 686 1 1 1 1 1 1 1.023 0.308 4 687 1 1 1 1 1 1 1.014 0.308 4 688 1 1 11 1 1 1.002 0.308 4 689 1 1 1 1 1 1 1.004 0.308 4 690 1 1 1 1 1 1 10.308 4 691 1 1 1 1 1 1 0.999 0.308 4 692 1 1 1 1 1 1 1.008 0.308 4 6931 1 1 1 1 1 1.001 0.308 4 694 1 1 1 1 1 1 0.991 0.308 4 695 1 1 1 1 1 11.003 0.308 4 696 1 1 1 1 1 1 1.002 0.308 4 697 1 1 1 1 1 1 1 0.308 4698 1 1 1 1 1 1 1.002 0.308 4 699 1 1 1 1 1 1 0.998 0.308 4 700 1 1 1 11 1 0.995 0.308 4 701 1 1 1 1 1 1 1.001 0.308 4 702 1 1 1 1 1 1 1 0.3084 703 1 1 1 1 1 1 0.995 0.308 4 704 1 1 1 1 1 1 1.003 0.308 4 705 1 1 11 1 1 1 0.308 4 706 1 1 1 1 1 1 1.003 0.308 4 707 1 1 1 1 1 1 1.0050.308 4 708 1 1 1 1 1 1 1.002 0.308 4 709 1 1 1 1 1 1 0.999 0.308 4 7101 1 1 1 1 1 1.001 0.308 4 711 1 1 1 1 1 1 1.01 0.308 4 712 1 1 1 1 1 11.001 0.308 4 713 0 1 1 0.899 1 1 0.97 0.3 1 714 1 1 1 1 1 1 0.979 0.3 4715 1 1 1 1 1 1 0.978 0.3 4 716 1 1 1 1 1 1 0.982 0.3 4 717 1 1 1 1 1 10.991 0.3 4 718 1 1 1 1 1 1 0.992 0.3 4 719 1 1 1 1 1 1 0.997 0.3 4 7201 1 1 1 1 1 1 0.3 4 721 1 1 1 1 1 1 0.993 0.3 4 722 1 1 1 1 1 1 0.9990.3 4 723 1 1 1 1 1 1 1.004 0.3 4 724 1 1 1 1 1 1 1.005 0.3 4 725 1 1 11 1 1 1.005 0.3 4 726 1 1 1 1 1 1 1.001 0.3 4 727 1 1 1 1 1 1 1.001 0.34 728 1 1 1 1 1 1 1.004 0.3 4 729 1 1 1 1 1 1 1.004 0.301 4 730 1 1 1 11 1 1.002 0.301 4 731 1 1 1 1 1 1 1.001 0.301 4 732 1 1 1 1 1 1 1.0040.301 4 733 1 1 1 1 1 1 1.004 0.301 4 734 1 1 1 1 1 1 1.003 0.301 4 7351 1 1 1 1 1 1.011 0.301 4 736 1 1 1 1 1 1 1.011 0.302 4 737 1 1 1 1 1 11.007 0.302 4 738 1 1 1 1 1 1 1.003 0.302 4 739 1 1 1 1 1 1 1.006 0.3034 740 1 1 1 1 1 1 1.007 0.304 4 741 1 1 1 1 1 1 1.01 0.304 4 742 1 1 1 11 1 1.013 0.304 4 743 1 1 1 1 1 1 1.011 0.305 4 744 1 1 1 1 1 1 1.0110.305 4 745 1 1 1 1 1 1 1.011 0.306 4 746 1 1 1 1 1 1 1.012 0.307 4 7471 1 1 1 1 1 1.01 0.307 4 748 1 1 1 1 1 1 1.015 0.307 4 749 1 1 1 1 1 11.007 0.307 4 750 1 1 1 1 1 1 1.013 0.307 4 751 1 1 1 1 1 1 1.015 0.3074 752 1 1 1 1 1 1 1.013 0.307 4 753 1 1 1 1 1 1 1.012 0.307 4 754 1 1 11 1 1 1.012 0.307 4 755 1 1 1 1 1 1 1.004 0.307 4 756 1 1 1 1 1 1 1.0070.307 4 757 1 1 1 1 1 1 1.014 0.307 4 758 0 1 1 0.885 1 1 0.983 0.298 1759 1 1 1 1 1 1 0.981 0.298 4 760 1 1 1 1 1 1 0.995 0.298 4 761 1 1 1 11 1 1 0.298 4 762 1 1 1 1 1 1 0.999 0.298 4 763 1 1 1 1 1 1 1.002 0.2984 764 1 1 1 1 1 1 1.004 0.298 4 765 1 1 1 1 1 1 1.002 0.298 4 766 1 1 11 1 1 1.011 0.298 4 767 1 1 1 1 1 1 1.004 0.298 4 768 1 1 1 1 1 1 1.0050.298 4 769 1 1 1 1 1 1 1.009 0.298 4 770 1 1 1 1 1 1 1.016 0.298 4 7711 1 1 1 1 1 1.008 0.298 4 772 1 1 1 1 1 1 1.014 0.298 4 773 0 1 1 0.8921 1 0.983 0.29 1 774 0 1 1 0.885 1 1 0.958 0.282 1 775 1 1 1 1 1 1 0.9670.282 4 776 1 1 1 1 1 1 0.975 0.282 4 777 1 1 1 1 1 1 0.981 0.283 4 7781 1 1 1 1 1 0.994 0.283 4 779 1 1 1 1 1 1 0.999 0.283 4 780 1 1 1 1 1 11.002 0.284 4 781 1 1 1 1 1 1 1.002 0.285 4 782 1 1 1 1 1 1 1.011 0.2854 783 1 1 1 1 1 1 1.009 0.286 4 784 1 1 1 1 1 1 1.012 0.287 4 785 1 1 11 1 1 1.011 0.287 4 786 1 1 1 1 1 1 1.013 0.288 4 787 1 1 1 1 1 1 1.0120.288 4 788 1 1 1 1 1 1 1.022 0.288 4 789 1 1 1 1 1 1 1.019 0.288 4 7901 1 1 1 1 1 1 0.288 4 791 1 1 1 1 1 1 1.006 0.288 4 792 1 1 1 1 1 11.005 0.288 4 793 1 1 1 1 1 1 0.992 0.288 4 794 1 1 1 1 1 1 1.014 0.2884 795 1 1 1 1 1 1 1.026 0.288 4 796 1 1 1 1 1 1 1.013 0.288 4 797 1 1 11 1 1 1.016 0.288 4 798 1 1 1 1 1 1 1.012 0.288 4 799 1 1 1 1 1 1 1.0090.288 4 800 0 1 1 0.892 1 1 0.986 0.28 1 801 0 1 1 0.879 1 1 0.961 0.2731 802 1 1 1 1 1 1 0.968 0.273 4 803 1 1 1 1 1 1 0.979 0.273 4 804 1 1 11 1 1 0.995 0.273 4 805 1 1 1 1 1 1 0.996 0.273 4 806 1 1 1 1 1 1 1.0040.274 4 807 1 1 1 1 1 1 1.015 0.275 4 808 1 1 1 1 1 1 1.002 0.275 4 8091 1 1 1 1 1 1.006 0.276 4 810 1 1 1 1 1 1 1.01 0.276 4 811 1 1 1 1 1 11.01 0.277 4 812 1 1 1 1 1 1 1.005 0.277 4 813 1 1 1 1 1 1 1.011 0.278 4814 1 1 1 1 1 1 1.007 0.278 4 815 1 1 1 1 1 1 1.01 0.278 4 816 1 1 1 1 11 1.016 0.278 4 817 1 1 1 1 1 1 1.016 0.278 4 818 1 1 1 1 1 1 1.0090.278 4 819 1 1 1 1 1 1 1.013 0.278 4 820 1 1 1 1 1 1 1.01 0.278 4 821 11 1 1 1 1 1.009 0.278 4 822 1 1 1 1 1 1 1.021 0.278 4 823 1 1 1 1 1 11.015 0.278 4 824 1 1 1 1 1 1 1.008 0.278 4 825 1 1 1 1 1 1 1.006 0.2784 826 1 1 1 1 1 1 1.004 0.278 4 827 1 1 1 1 1 1 1.002 0.278 4 828 1 1 11 1 1 1.001 0.278 4 829 1 1 1 1 1 1 1.006 0.278 4 830 1 1 1 1 1 1 1.0020.278 4 831 0 1 1 0.899 1 1 0.985 0.27 1 832 1 1 1 1 1 1 0.981 0.27 4833 1 1 1 1 1 1 0.993 0.271 4 834 1 1 1 1 1 1 1.008 0.271 4 835 1 1 1 11 1 1.008 0.271 4 836 1 1 1 1 1 1 1.004 0.272 4 837 1 1 1 1 1 1 1.0140.272 4 838 1 1 1 1 1 1 1.012 0.272 4 839 1 1 1 1 1 1 1.005 0.272 4 8401 1 1 1 1 1 1.016 0.272 4 841 1 1 1 1 1 1 1.019 0.272 4 842 1 1 1 1 1 11.015 0.272 4 843 1 1 1 1 1 1 1.014 0.272 4 844 1 1 1 1 1 1 1.01 0.272 4845 1 1 1 1 1 1 1.015 0.272 4 846 1 1 1 1 1 1 1.007 0.272 4 847 1 1 1 11 1 1.009 0.272 4 848 1 1 1 1 1 1 1.004 0.272 4 849 1 1 1 1 1 1 1.0120.272 4 850 1 1 1 1 1 1 1.027 0.273 4 851 1 1 1 1 1 1 1.031 0.274 4 8521 1 1 1 1 1 1.017 0.274 4 853 1 1 1 1 1 1 1.032 0.274 4 854 1 1 1 1 1 11.008 0.274 4 855 1 1 1 1 1 1 1.01 0.274 4 856 1 1 1 1 1 1 1.006 0.274 4857 1 1 1 1 1 1 1.005 0.274 4 858 1 1 1 1 1 1 0.999 0.274 4 859 1 1 1 11 1 1.004 0.275 4 860 1 1 1 1 1 1 1.002 0.275 4 861 1 1 1 1 1 1 0.9910.275 4 862 1 1 1 1 1 1 1.01 0.276 4 863 1 1 1 1 1 1 1.011 0.277 4 864 11 1 1 1 1 1.011 0.278 4 865 1 1 1 1 1 1 1.026 0.279 4 866 1 1 1 1 1 11.019 0.28 4 867 1 1 1 1 1 1 1.017 0.281 4 868 1 1 1 1 1 1 1.024 0.282 4869 1 1 1 1 1 1 1.017 0.283 4 870 1 1 1 1 1 1 1.012 0.285 4 871 1 1 1 11 1 1.029 0.286 4 872 1 1 1 1 1 1 1.041 0.287 4 873 1 1 1 1 1 1 1.0260.288 4 874 1 1 1 1 1 1 1.037 0.289 4 875 1 1 1 1 1 1 1.03 0.289 4 876 11 1 1 1 1 1.009 0.289 4 877 1 1 1 1 1 1 1.002 0.289 4 878 1 1 1 1 1 11.016 0.29 4 879 1 1 1 1 1 1 1.009 0.29 4 880 1 1 1 1 1 1 1.011 0.29 4881 1 1 1 1 1 1 1.022 0.29 4 882 1 1 1 1 1 1 1.018 0.29 4 883 1 1 1 1 11 1.005 0.29 4 884 1 1 1 1 1 1 1.002 0.29 4 885 1 1 1 1 1 1 0.99 0.291 4886 1 1 1 1 1 1 0.989 0.291 4 887 1 1 1 1 1 1 1.003 0.292 4 888 1 1 1 11 1 0.994 0.292 4 889 1 1 1 1 1 1 0.994 0.293 4 890 1 1 1 1 1 1 1.0060.294 4 891 1 1 1 1 1 1 1.001 0.295 4 892 1 1 1 1 1 1 0.991 0.296 4 8931 1 1 1 1 1 1.01 0.297 4 894 1 1 1 1 1 1 1.001 0.299 4 895 1 1 1 1 1 11.004 0.3 4 896 1 1 1 1 1 1 0.999 0.301 4 897 1 1 1 1 1 1 0.997 0.302 4898 1 1 1 1 1 1 0.995 0.303 4 899 1 1 1 1 1 1 1.004 0.304 4 900 1 1 1 11 1 1.01 0.306 4 901 1 1 1 1 1 1 1.002 0.307 4 902 1 1 1 1 1 1 1.0070.308 4 903 1 1 1 1 1 1 1.006 0.309 4 904 1 1 1 1 1 1 1.009 0.311 4 9051 1 1 1 1 1 1.012 0.312 4 906 1 1 1 1 1 1 1.022 0.313 4 907 1 1 1 1 1 11.008 0.314 4 908 1 1 1 1 1 1 0.986 0.316 4 909 1 1 1 1 1 1 1.015 0.3174 910 1 1 1 1 1 1 1.014 0.319 4 911 1 1 1 1 1 1 1.012 0.321 4 912 1 1 11 1 1 1.01 0.322 4 913 1 1 1 1 1 1 1.008 0.324 4 914 1 1 1 1 1 1 1.0090.325 4 915 1 1 1 1 1 1 1.014 0.327 4 916 1 1 1 1 1 1 0.999 0.328 4 9171 1 1 1 1 1 1.002 0.33 4 918 1 1 1 1 1 1 1.009 0.332 4 919 1 1 1 1 1 11.002 0.333 4 920 1 1 1 1 1 1 1.009 0.335 4 921 1 1 1 1 1 1 1.02 0.337 4922 1 1 1 1 1 1 1.015 0.338 4 923 1 1 1 1 1 1 1.009 0.34 4 924 1 1 1 1 11 1.011 0.341 4 925 1 1 1 1 1 1 1.014 0.343 4 926 1 1 1 1 1 1 1.0080.344 4 927 1 1 1 1 1 1 1.009 0.346 4 928 1 1 1 1 1 1 1.012 0.347 4 9291 1 1 1 1 1 1.012 0.349 4 930 1 1 1 1 1 1 1.007 0.351 4 931 1 1 1 1 1 11.01 0.352 4 932 1 1 1 1 1 1 1.01 0.354 4 933 1 1 1 1 1 1 1.017 0.356 4934 1 1 1 1 1 1 1.013 0.358 4 935 1 1 1 1 1 1 1.01 0.36 4 936 1 1 1 1 11 1.021 0.361 4 937 1 1 1 1 1 1 1.018 0.363 4 938 1 1 1 1 1 1 1.0170.365 4 939 1 1 1 1 1 1 1.016 0.366 4 940 1 1 1 1 1 1 1.017 0.368 4 9411 1 1 1 1 1 1.013 0.369 4 942 1 1 1 1 1 1 1.008 0.37 4 943 1 1 1 1 1 11.015 0.371 4 944 1 1 1 1 1 1 0.989 0.372 4 945 1 1 1 1 1 1 0.996 0.3744 946 1 1 1 1 1 1 0.995 0.375 4 947 1 1 1 1 1 1 1.015 0.376 4 948 1 1 11 1 1 1.005 0.377 4 949 1 1 1 1 1 1 1.004 0.378 4 950 1 1 1 1 1 1 0.9950.379 4

I claim:
 1. An image processing system for use with an image sensor anda power supply, the image processing system comprising: correctioncircuitry for coupled to the image sensor and configured to receive araw frame of video data from the image sensor; scene analysis circuitry(1) coupled to the image sensor and configured to receive a raw frame ofvideo data from the image sensor and (2) coupled to the correctioncircuitry and configured to receive a processed frame of video data fromthe correction circuitry, wherein the scene analysis circuitry outputs(1) an average video level of at least one of the raw frame of videodata and the processed frame of video data and (2) scene metrics relatedto at least one of the raw frame of video data and the processed frameof video data; setpoint controller circuitry for outputting a setpointbased on at least the scene metrics; and gain controller circuitry forreceiving the average video level and the setpoint and setting at leastone of a power supply gain and an image sensor gain based on at leastone of the average video level and the setpoint.
 2. The image processingsystem as claimed in claim 1, wherein the image sensor is a sensor fornight-vision goggles.
 3. The image processing system as claimed in claim1, wherein the scene metrics comprise at least one of the followingcharacteristics: a number of pixels that have intensities representing asaturated condition; a percentage of pixels that have intensitiesrepresenting a saturated condition; a number of pixels that haveintensities greater than a first threshold; a percentage of pixels thathave intensities greater than the first threshold; a number of pixelsthat have intensities less than a second threshold; and a percentage ofpixels that have intensities less than the second threshold.
 4. Theimage processing system as claimed in claim 1, wherein the setpointcontroller circuitry sets the setpoint by assigning the reduction ofsaturation a higher priority than an adjustment based on any other scenemetric of the scene metrics related to at least one of the raw frame ofvideo data and the processed frame of video data.
 5. The imageprocessing system as claimed in claim 4, wherein the setpoint controllercircuitry sets the setpoint by assigning the reduction of values in ahigh bin a higher priority than an adjustment based on any other scenemetric, except for saturation, of the scene metrics related to at leastone of the raw frame of video data and the processed frame of videodata.
 6. The image processing system as claimed in claim 1, wherein atleast a portion of at least one of the correction circuitry, the sceneanalysis circuitry, the setpoint controller circuitry and the gaincontroller circuitry comprises a field programmable gate array (FPGA).7. The image processing system as claimed in claim 1, wherein at least aportion of at least one of the correction circuitry, the scene analysiscircuitry, the setpoint controller circuitry and the gain controllercircuitry comprises a field programmable gate array (FPGA) connected toa microcontroller.
 8. The image processing system as claimed in claim 7,wherein the field programmable gate array (FPGA) provides the scenemetrics to the microcontroller, and wherein the microcontrollerimplements at least a portion of the setpoint controller circuitry andthe gain controller circuitry.
 9. A method of providing gain correctionin an image processing system, the method being implemented under thecontrol of a microcontroller reading computer instructions from anon-transitory computer memory accessible by the microcontroller andcausing the system to perform the steps of: (a) assigning a setpoint ofa system gain controller; (b) receiving a frame of digital video data;(c) calculating plural scene metrics from the received frame of digitaldata; (d) calculating an adjustment metric based on at least one of theplural scene metrics; (e) calculating a filter value based on thecurrent setpoint of the system gain controller; (f) calculating anupdated setpoint based on the current setpoint of the system gaincontroller, the adjustment metric and the filter value; (g) applyingupper and lower limits to the updated setpoint; and (h) repeating steps(b)-(g) for successive frames of digital video data.
 10. The method asclaimed in claim 9, wherein calculating the adjustment metric based onthe at least one of the plural scene metrics comprises calculatingplural normalized scene metrics from the plural scene metrics.
 11. Themethod as claimed in claim 10, wherein calculating the adjustment metriccomprises calculating metric values based on the plural normalized scenemetrics and a prioritization order for adjustments to the setpoint.